• 제목/요약/키워드: indeterminate structures

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Nonlinear analysis of the RC structure by higher-order element with the refined plastic hinge

  • IU, C.K.
    • Computers and Concrete
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    • 제17권5호
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    • pp.579-596
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    • 2016
  • This paper describes a method of the refined plastic hinge approach in the framework of the higher-order element formulation that can efficaciously evaluate the limit state capacity of a whole reinforced concrete structural system using least number of element(s), whereas the traditional design of a reinforced concrete structure (i.e. AS3600; Eurocode 2) is member-based approach. Hence, in regard to the material nonlinearities, the efficient and economical cross-section analysis is provided to evaluate the element section capacity of non-uniform and arbitrary concrete section subjected to the interaction effects, which is helpful to formulate the refined plastic hinge method. In regard to the geometric nonlinearities, this paper relies on the higher-order element formulation with element load effect. Eventually, the load redistribution can be considered and make full use of the strength reserved owing to the redundancy of an indeterminate structure. And it is particularly true for the performance-based design of a structure under the extreme loads, while the uncertainty of the extreme load is great that the true behaviour of a whole structural system is important for the economical design approach, which is great superiority over the conservative optimal strength of an individual and isolated member based on traditional design (i.e. AS3600; Eurocode 2).

Topology optimization of the photovoltaic panel connector in high-rise buildings

  • Lu, Xilin;Xu, Jiaqi;Zhang, Hongmei;Wei, Peng
    • Structural Engineering and Mechanics
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    • 제62권4호
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    • pp.465-475
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    • 2017
  • Photovoltaic (PV) panels are used in high-rise buildings to convert solar energy to electricity. Due to the considerable energy consumption of high-rise buildings, applying PV technology is of great significance to energy saving. In the application of PV panels, one of the most important construction issues is the connection of the PV panel with the main structures. One major difficulty of the connection design is that the PV panel connection consists of two separate components with coupling and indeterminate dimension. In this paper, the gap element is employed in these two separated but coupled components, i.e., hook and catch. Topology optimization is applied to optimize and design the cross-section of the PV panel connection. Pareto optimization is conducted to operate the optimization subject to multiple load scenarios. The initial design for the topology optimization is determined by the common design specified by the Technical Code for Glass Curtain Wall Engineering (JGJ 102-2003). Gravity and wind load scenarios are considered for the optimization and numerical analysis. Post analysis is conducted for the optimal design obtained by the topology optimization due to the manufactory requirements. Generally, compared with the conventional design, the optimized connector reduces material use with improved structural characteristics.

Nonlinear analyses of steel beams and arches using virtual unit moments and effective rigidity

  • Koubova, Lenka;Janas, Petr;Markopoulos, Alexandros;Krejsa, Martin
    • Steel and Composite Structures
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    • 제33권5호
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    • pp.755-765
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    • 2019
  • This study examined geometric and physical nonlinear analyses of beams and arches specifically from rolled profiles used in mining and underground constructions. These profiles possess the ability to create plastic hinges owing to their robustness. It was assumed that displacements in beams and arches fabricated from these profiles were comparable with the size of the structure. It also considered changes in the shape of a rod cross-section and the nonlinearities of the structure. The analyses were based on virtual unit moments, effective flexural rigidity of used open sections, and a secant method. The use of the approach led to a solution for the "after-critical" condition in which deformation increased with decreases in loads. The solution was derived for static determinate beams and static indeterminate arches. The results were compared with results obtained in other experimental tests and methods.

Dynamic and wave propagation investigation of FGM plates with porosities using a four variable plate theory

  • Bennai, Riadh;Fourn, Hocine;Atmane, Hassen Ait;Tounsi, Abdelouahed;Bessaim, Aicha
    • Wind and Structures
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    • 제28권1호
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    • pp.49-62
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    • 2019
  • In this paper, an analytical analysis for the study of vibratory behavior and wave propagation of functionally graded plates (FGM) is presented based on a high order shear deformation theory. The manufacture of these plates' defects can appear in the form of porosity. This latter can question and modify the global behavior of such plates. A new shape of the distribution of porosity according to the thickness of the plate was used. The field of displacement of this theory is present of indeterminate integral variables. The modulus of elasticity and the mass density of these plates are assumed to vary according to the thickness of the plate. Equations of motion are derived by the principle of minimization of energies. Analytical solutions of free vibration and wave propagation are obtained for FGM plates simply supported by integrating the analytic dispersion relation. Illustrative examples are given also to show the effects of variation of various parameters such as(porosity parameter, material graduation, thickness-length ratio, porosity distribution) on vibration and wave propagation of FGM plates.

Free vibration response of functionally graded Porous plates using a higher-order Shear and normal deformation theory

  • Bennai, Riadh;Atmane, Hassen Ait;Ayache, Belqassim;Tounsi, Abdelouahed;Bedia, E.A. Adda;Al-Osta, Mohammed A.
    • Earthquakes and Structures
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    • 제16권5호
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    • pp.547-561
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    • 2019
  • In this work, a new analytical approach using a theory of a high order hyperbolic shear deformation theory (HSDT) has been developed to study the free vibration of plates of functionally graduated material (FGM). This theory takes into account the effect of stretching the thickness. In contrast to other conventional shear deformation theories, the present work includes a new displacement field that introduces indeterminate integral variables. During the manufacturing process of these plates defects can appear as porosity. The latter can question and modify the global behavior of such plates. The materials constituting the plate are assumed to be gradually variable in the direction of height according to a simple power law distribution in terms of the volume fractions of the constituents. The motion equations are derived by the Hamilton principle. Analytical solutions for free vibration analysis are obtained for simply supported plates. The effects of stretching, the porosity parameter, the power law index and the length / thickness ratio on the fundamental frequencies of the FGM plates are studied in detail.

Determination of the load carrying capacity of closed steel supports used in underground construction and mining

  • Lenka, Koubova;Petr, Janas;Karel, Janas;Martin, Krejsa
    • Steel and Composite Structures
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    • 제45권5호
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    • pp.715-728
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    • 2022
  • Closed steel supports of different shapes are used in mining and underground constructions. The supports are prefabricated from rolled, usually robust, steel profiles. The load carrying capacity of a support is considerably influenced by the active loading and passive forces. The passive forces are induced by interactions between the support and the surrounding rock mass. The analysis herein comprises three parts: The first part consists of structural geometry processing. The second part involves finding the numerical solution of a statically indeterminate structure for a specified load. The third part is calculation of the load carrying capacity and the components of internal forces and deformations. For this, the force method and numerical integration are used. The Winkler model is applied when the support interacts with the surrounding environment. The load carrying capacity is limited by the slip resistance of the connected parts and it is limited by reaching the ultimate state of the profile. This paper serves as a comprehensive reference for the determination of the load carrying capacity of closed steel supports and includes stepwise derivations of the governing formulas.

The effect of visco-Pasternak foundation on the free vibration behavior of exponentially graded sandwich plates with various boundary conditions

  • Fatima, Bounouara;Salem Mohammed, Aldosari;Abdelbaki, Chikh;Abdelhakim, Kaci;Abdelmoumen Anis, Bousahla;Fouad, Bourada;Abdelouahed, Tounsi;Kouider Halim, Benrahou;Hind, Albalawi;Abdeldjebbar, Tounsi
    • Steel and Composite Structures
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    • 제46권3호
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    • pp.367-383
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    • 2023
  • In this investigation, an improved integral trigonometric shear deformation theory is employed to examine the vibrational behavior of the functionally graded (FG) sandwich plates resting on visco-Pasternak foundations. The studied structure is modelled with only four unknowns' variables displacements functions. The simplicity of the developed model being in the reduced number of variables which was made with the help of the use of the indeterminate integral in the formulation. The current kinematic takes into consideration the shear deformation effect and does not require any shear correction factors as used in the first shear deformation theory. The equations of motion are determined from Hamilton's principle with including the effect of the reaction of the visco-Pasternak's foundation. A Galerkin technique is proposed to solve the differentials governing equations, which enables one to obtain the semi-analytical solutions of natural frequencies for various clamped and simply supported FG sandwich plates resting on visco-Pasternak foundations. The validity of proposed model is checked with others solutions found in the literature. Parametric studies are performed to illustrate the impact of various parameters as plate dimension, layer thickness ratio, inhomogeneity index, damping coefficient, vibrational mode and elastic foundation on the vibrational behavior of the FG sandwich plates.

상향긴장식 부분PT를 사용한 슬래브의 적용성 분석 (A Study on the Applicability of Partial Post-Tension Slab with Top Anchorage System)

  • 이득행;김강수;김창혁;김상식;김용남;정광량
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2008년도 추계 학술발표회 제20권2호
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    • pp.309-312
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    • 2008
  • 철근콘크리트구조(RC)는 경제성이 뛰어나 가장 널리 사용되고 있지만, 인장응력에 취약하고 콘크리트의 자중이 커서 처짐 제어가 어렵다는 단점이 있다. 프리스트레스트콘크리트구조는 이를 극복할 수 있는 가장 효율적인 방법으로 이미 오래전부터 알려져 있지만 국내에서는 건축 현장 여건 때문에 적용사례가 매우 드물다. 특히, 대부분 부정정 구조물인 건축물에 적합하면서 일체성을 확보할 수 있는 포스트텐션(PT) 공법은 국내에서는 최근에서야 비로소 몇몇 건축 현장에 도입하기 시작하였다. 그러나 전구간 포스트텐션 공법을 적용하는 것에는 현장여건상 여전히 많은 엔지니어들이 부담을 가지고 있는 것이 현실이다. 따라서 본 연구에서는 RC구조의 처짐억제 효율성을 높이면서도 현장 실무자들에게 부담을 최소화 할 수 있는 현실적 대안으로 부분 구간에만 PT공법을 적용시키는 방법을 제안하고 거동 특성을 분석하였다. 본 연구에서는 부분 구간PT공법의 적용성을 높이기 위하여 상향긴장방식을 적용하였으며, 실제 현장적용을 통하여 얻은 계측값과 해석결과의 비교를 통하여 거동 특성을 분석하였다.

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연속(連續)보의 해석(解析)에 관한 새로운 방법(方法)-모멘트 분배법(分配法)의 정식화(定式化) (A New Approach to the Analysis of Continuous Beams)

  • 양창현
    • 대한토목학회논문집
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    • 제10권4호
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    • pp.25-33
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    • 1990
  • 모멘트 분배법(分配法)은 지난 60년(年) 동안 연속(連續)보와 라멘 등의 부정정구조물(不靜定構造物)의 근사해법(近似解法)으로 널리 사용되어 왔다. 이 방법(方法)은 구조부재(構造部材)의 양단(兩端)모멘트를 반복적(反復的)인 수계산(手計算)으로 산정(算定)하는 것이다. 본(本) 연구(硏究)는 모메트 분배법(分配法)을 이용하여 수렴형공식(收斂型公式)을 전개(展開)한 것이다. 이들 공식(公式)은 재래식(在來式) 모멘트 분배법(分配法)의 단점(短點)이라고 할 수 있는 결과(結果)의 근사성(近似性) 및 과정(過程)의 복잡성(複雜性)을 극복(克服)함으로써 간단(簡單)하고도 정확(正確)한 해(解)를 제공(提供)한다. 여기 제안(提案)된 공식(公式)들은 부정정(不靜定) 뼈대의 새로운 해법(解法)의 하나가 될 것이며, 특히 연속(連續)보의 영향선(影響線)의 작도(作圖)에 효과적(效果的)으로 기여(寄與)함으로써 구조설계(構造設計)의 실무(實務)에 큰 도움이 될 것이다.

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Analysis of wave propagation and free vibration of functionally graded porous material beam with a novel four variable refined theory

  • Ayache, Belqassim;Bennai, Riadh;Fahsi, Bouazza;Fourn, Hocine;Atmane, Hassen Ait;Tounsi, Abdelouahed
    • Earthquakes and Structures
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    • 제15권4호
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    • pp.369-382
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    • 2018
  • A free vibration analysis and wave propagation of functionally graded porous beams has been presented in this work using a high order hyperbolic shear deformation theory. Unlike other conventional shear deformation theories, a new displacement field that introduces indeterminate integral variables has been used to minimize the number of unknowns. The constituent materials of the beam are assumed gradually variable along the direction of height according to a simple power law distribution in terms of the volume fractions of the constituents. The variation of the pores in the direction of the thickness influences the mechanical properties. It is therefore necessary to predict the effect of porosity on vibratory behavior and wave velocity of FG beams in this study. A new function of the porosity factor has been developed. Hamilton's principle is used for the development of wave propagation equations in the functionally graded beam. The analytical dispersion relationship of the FG beam is obtained by solving an eigenvalue problem. Illustrative numerical examples are given to show the effects of volume fraction distributions, beam height, wave number, and porosity on free vibration and wave propagation in a functionally graded beam.